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Finding the Fourth Proportional to 11,107, 16,596.83 and 8,459.80

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Solution

The fourth proportional to 11,107, 16,596.83 and 8,459.80 is: 12,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107 : 16,596.83 = 8,459.80 : x
  2. Step 2: Convert to fraction form
    11,107/16,596.83 = 8,459.80/x
  3. Step 3: Cross multiply
    11,107x = 16,596.83 × 8,459.80
  4. Step 4: Simplify right side
    11,107x = 140,405,862.43
  5. Step 5: Solve for x
    x = 140,405,862.43/11,107
  6. Step 6: Final answer
    x = 12,641.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.